Least Common Multiple of 7800 and 7807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7800 and 7807 the smallest integer that is 60894600 that is divisible by both numbers.

Least Common Multiple (LCM) of 7800 and 7807 is 60894600.

LCM(7800,7807) = 60894600

LCM of 7800 and 7807

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7800 and 7807

LCM of 7800 and 7807 is 60894600

Least common multiple can be found by multiplying the highest exponent prime factors of 7800 and 7807. First we will calculate the prime factors of 7800 and 7807.

Prime Factorization of 7800


2 7800
2 3900
2 1950
3 975
5 325
5 65
13 13
1

Prime factors of 7800 are 2, 3, 5,13. Prime factorization of 7800 in exponential form is:

7800 = 23×31×52×131

Prime Factorization of 7807


37 7807
211 211
1

Prime factors of 7807 are 37,211. Prime factorization of 7807 in exponential form is:

7807 = 371×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 7800 and 7807.

LCM(7800,7807) = 23×31×52×131×371×2111
LCM(7800,7807) = 60894600

Factors of 7800

List of positive integer factors of 7800 that divides 7800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800

Factors of 7807

List of positive integer factors of 7807 that divides 7807 without a remainder.

1, 37, 211, 7807

Least Common Multiple of 7800 and 7807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7800 and 7807, than apply into the LCM equation.

GCF(7800,7807) = 1
LCM(7800,7807) = ( 7800 × 7807) / 1
LCM(7800,7807) = 60894600 / 1
LCM(7800,7807) = 60894600

Properties of LCM 7800 and 7807

(i) The LCM of 7807 and 7800 is associative

LCM of 7800 and 7807 = LCM of 7807 and 7800

Related Least Common Multiples of 7800

Related Least Common Multiples of 7807

Frequently Asked Questions on LCM of 7800 and 7807

1. What is the LCM of 7800 and 7807?

Answer: LCM of 7800 and 7807 is 60894600.

2. What are the Factors of 7800?

Answer: Factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800. There are 48 integers that are factors of 7800. The greatest factor of 7800 is 7800.

3. What are the Factors of 7807?

Answer: Factors of 7807 are 1, 37, 211, 7807. There are 4 integers that are factors of 7807. The greatest factor of 7807 is 7807.

4. How to Find the LCM of 7800 and 7807?

Answer:

Least Common Multiple of 7800 and 7807 = 60894600

Step 1: Find the prime factorization of 7800

7800 = 2 x 2 x 2 x 3 x 5 x 5 x 13

Step 2: Find the prime factorization of 7807

7807 = 37 x 211

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 60894600 = 2 x 2 x 2 x 3 x 5 x 5 x 13 x 37 x 211

Step 4: Therefore, the least common multiple of 7800 and 7807 is 60894600.